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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 901 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of 49, 24, 41 and 30? (a) 48 (b) 35 (c) 36 (d) 37
  2. 2.If x/3 + 9 = 13, what is x? (a) 30 (b) 66 (c) 12 (d) 4
  3. 3.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 150 min (c) 25 min (d) 5 min
  4. 4.Which of these numbers is divisible by 6? (a) 5125 (b) 5124 (c) 5133 (d) 5122
  5. 5.If x/2 + 9 = 18, what is x? (a) 9 (b) 27 (c) 18 (d) 54
  6. 6.₹49 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹7 (b) ₹49 (c) ₹42 (d) ₹43
  7. 7.What is the value of the digit 1 in 67.421? (a) 0.1 (b) 0.001 (c) 1 (d) 0.01
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  9. 9.Which is the smallest: 0.5, 0.079, 0.53, 0.487? (a) 0.5 (b) 0.079 (c) 0.53 (d) 0.487
  10. 10.What is the average of all the whole numbers from 50 to 68? (a) 9 (b) 59 (c) 18 (d) 60
  11. 11.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 320 (b) 160 (c) 80 (d) 36
  12. 12.Two ribbons are 6 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 8 cm (c) 1 cm (d) 6 cm
  13. 13.What is the simple interest on ₹5000 at 4% per year for 2 years? (a) ₹200 (b) ₹600 (c) ₹400 (d) ₹5400
  14. 14.If 5 mangoes cost ₹30, how much do 9 mangoes cost? (a) ₹54 (b) ₹34 (c) ₹270 (d) ₹60
  15. 15.If 11 June is a Wednesday, what day of the week is 8 July? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  16. 16.What is the average of 13, 26, 6, 15 and 45? (a) 21 (b) 20 (c) 22 (d) 23
  17. 17.If 9 notebooks cost ₹225, how much do 10 notebooks cost? (a) ₹250 (b) ₹2250 (c) ₹226 (d) ₹275
  18. 18.If 9x + 17 = 8x + 27, what is x? (a) 11 (b) 10 (c) 12 (d) 44
  19. 19.If x/3 + 1 = 7, what is x? (a) 18 (b) 24 (c) 6 (d) 20
  20. 20.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 9 cm (c) 120 cm (d) 18 cm
  21. 21.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 84 min (c) 54 min (d) 504 min
  22. 22.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 27 sq cm (d) 24 sq cm
  23. 23.₹506 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹253 (b) ₹46 (c) ₹368 (d) ₹138
  24. 24.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 56 sq cm (d) 28 sq cm
  25. 25.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 55 cm (c) 12 cm (d) 7 cm
  26. 26.2/4 + 2/3 = ? (a) 7/6 (b) 13/12 (c) 5/4 (d) 4/7
  27. 27.Which fraction is greater: 1/8 or 8/9? (a) They are equal (b) 8/9 (c) 1/8
  28. 28.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 378 (b) 39 (c) 252 (d) 126
  29. 29.Which fraction is greater: 4/9 or 2/11? (a) 2/11 (b) They are equal (c) 4/9
  30. 30.A shopkeeper buys a toy for ₹540 and sells it for ₹567. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 27%
  31. 31.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 70 sq cm (d) 80 sq cm
  32. 32.If 11 January is a Tuesday, what day of the week is 20 January? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
  33. 33.If 12 May is a Tuesday, what day of the week is 15 June? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  34. 34.If 2 kites cost ₹42, how much do 5 kites cost? (a) ₹126 (b) ₹105 (c) ₹45 (d) ₹210
  35. 35.₹270 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹270 (b) ₹243 (c) ₹27 (d) ₹135
  36. 36.A shopkeeper buys a toy for ₹1000 and sells it for ₹800. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 21%
  37. 37.Every pair follows the same rule: 3 : 6, 7 : 10, 9 : 12. What is 2 : ? (a) 4 (b) 6 (c) 7 (d) 5
  38. 38.A teacher has 18 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 18 (c) 6 (d) 3
  39. 39.The simple interest on ₹4000 for 4 years is ₹800. What is the rate per year? (a) 4% (b) 6% (c) 20% (d) 5%
  40. 40.3.56 + 8.3 = ? (a) 4.39 (b) 11.86 (c) 11.76 (d) 11.96

Answer key

  1. 36
  2. 12
  3. 30 min
  4. 5124
  5. 18
  6. ₹42
  7. 0.001
  8. 81 sq cm
  9. 0.079
  10. 59
  11. 80
  12. 2 cm
  13. ₹400
  14. ₹54
  15. Tuesday
  16. 21
  17. ₹250
  18. 10
  19. 18
  20. 9 cm
  21. 84 min
  22. 27 sq cm
  23. ₹368
  24. 48 sq cm
  25. 6 cm
  26. 7/6
  27. 8/9
  28. 126
  29. 4/9
  30. 5%
  31. 70 sq cm
  32. Thursday
  33. Monday
  34. ₹105
  35. ₹243
  36. 20%
  37. 5
  38. 6
  39. 5%
  40. 11.86

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